Yes, the readers such as mysticfive mentioned are great.
The following two are easily found on Amazon and a cd is included where you can listen to the stories/essays (depending on which version you get) as many times as you want.
Read Real Japanese Essays
With essays by: Haruki Murakami, Banana Yoshimoto, Junko Sakai, Mitsuyo Kakuta, Kou Machida, Yoko Ogawa, Koiichiro Hirano, Hideo Levy
[URL=http://www.amazon.com/Read-Real-Japanese-Essays-Contemporary/dp/4770030576/ref=pd_sim_b_1]http://www.amazon.com/Read-Real-Japanese-Essays-Contemporary/dp/4770030576/ref=pd_sim_b_1[/URL]
Read Real Japanese Fiction
With short stories by: Hiromi Kawakami, Otsuichi, Shinji Ishii, Banana Yoshimoto, Kaoru Kitamura, Yoko Tawada
[URL=http://www.amazon.com/Read-Real-Japanese-Fiction-Contemporary/dp/4770030584/ref=pd_sim_b_1]http://www.amazon.com/Read-Real-Japanese-Fiction-Contemporary/dp/4770030584/ref=pd_sim_b_1[/URL]
These readers are bilingual, with a great dictionary and very thorough explanations of grammar and whatnot. The stories chosen increase in difficulty as the books go on and are in general really fun to read. Furigana is included the first time a kanji comes around but then the next time it pops up it's not included to force you to remember the readings.
In any case, those are my additional thoughts on those readers.
At this website you can read several authors and the stories include furigana. (Or you can choose the option that removes the furigana but I haven't been to this site for awhile so I don't quite remember where to do that. But it wasn't hard, I remember that at least.) The link provided goes to Ryuunosuke Akutagawa as that's who I was looking up at the time.
[url=http://www.aozora.gr.jp/index_pages/person879.html]http://www.aozora.gr.jp/index_pages/person879.html[/url]